Pith Number

pith:ZEVS5GPQ

pith:2005:ZEVS5GPQKF6C4GP2GUERNVDOGB

not attested not anchored not stored refs pending

Word hyperbolic extensions of surface groups

Ursula Hamenstaedt

arxiv:math/0505244 v2 · 2005-05-12 · math.GT · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZEVS5GPQKF6C4GP2GUERNVDOGB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Extensions of finitely generated Veech groups

Receipt and verification

First computed	2026-05-18T02:17:01.797519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c92b2e99f0517c2e19fa350916d46e304b588fdac07e4fce6e2de4b93a3413a8

Aliases

arxiv: math/0505244 · arxiv_version: math/0505244v2 · doi: 10.48550/arxiv.math/0505244 · pith_short_12: ZEVS5GPQKF6C · pith_short_16: ZEVS5GPQKF6C4GP2 · pith_short_8: ZEVS5GPQ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZEVS5GPQKF6C4GP2GUERNVDOGB \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c92b2e99f0517c2e19fa350916d46e304b588fdac07e4fce6e2de4b93a3413a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc7cbf1d288ae71b35ae43471698a21a73e50e6b8b9ba2b6fa0b117fbee86a7d",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2005-05-12T08:36:54Z",
    "title_canon_sha256": "b5832257731e9a483f5626e1f656ecbfc371917ebf4f844ca0509db1fea228a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0505244",
    "kind": "arxiv",
    "version": 2
  }
}